Find the circumcentre of triangle ABC if `A (7, 4), B (3, -2)` and `angle C = (pi)/(3)`.

Find the orthocentre of Delta ABC if A-= (0, 0), B -= (3, 5) and C -= (4, 7) .

Find the circumcentre of the triangle with the vertices (-2,3),(2,-1) and (4,0)

Find the co-ordinates of circumcentre and radius of circumcircle of triangle ABC if A(7,1) ,B(3,5) and C(2,0) are given .

The circumcentre of the triangle ABC is O . Prove that angle OBC+angle BAC=90^@ .

The vertices of triangle ABC are A (4, 4), B (6, 3), C (2, -1), then angle ABC is equal to

Show that ((3)/(2),(7)/(2),(1)/(2)) is the circumcentre of the triangle whose vertices are A(2,3,2),B(0,4,1) and C(3,3,0) and hence find its orthocentre

Find the orthocentre of the triangle ABC whose abgular points are A(1,2),B(2,3) and C(4,3)

If the vertices of a triangle ABC are A (-4, -1), B (1,2) and C (4, -3), then the coordinates of the circumcentre of the triangle are,

Let circumcentre of a triangle ABC be c(0,0) and orthocenter of triangles OBC,OCA and OAB are A,B and C respectively If CA=(3)/(2) and area of Delta ABC=(a sqrt(3))/(b) (where a,bare respectively prime numbers),then find the value of (a-5b).